Differential equations for \(p\), \(q\)-Touchard polynomials

DOI10.1515/math-2016-0082zbMath1430.11031OpenAlexW2554130390MaRDI QIDQ2520423

Orli Herscovici, Taekyun Kim, Toufik Mansour, Seong-Hoon Rim

Publication date: 13 December 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0082

zbMATH Keywords

Touchard polynomialsexponential polynomialsordered partitions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (2)

\((p, q)\)-analogues of the generalized Touchard polynomials and Stirling numbers ⋮ Touchard wavelet technique for solving time-fractional Black-Scholes model

Cites Work

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• A general two-term recurrence and its solution
• Symbolic powers of planar point configurations. II.
• Some identities of Laguerre polynomials arising from differential equations
• Tsallis \(p,q\)-deformed Touchard polynomials and Stirling numbers
• Effective elastic constants of two-dimensional cellular materials with deep and thick cell walls
• A note on nonlinear Changhee differential equations
• Identities involving degenerate Euler numbers and polynomials arising from non-linear differential equations
• Commutation Relations, Normal Ordering, and Stirling Numbers
• SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION
• On aq-generalization of circular and hyperbolic functions

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